3-2 The Coordinate Plane Warm Up Problem of the Day Course 2 Warm Up Problem of the Day Lesson Presentation

3-2 The Coordinate Plane Warm Up 1. 4 2. –7 3. –2 4. 7, –2, 0, 3, –5 Course 2 3-2 The Coordinate Plane Warm Up Graph each integer and its opposite on a number line. 1. 4 2. –7 3. –2 1 2 3 4 5 6 7 8 –8–7–6 –5–4 –3 –2 –1 0 Graph the integers on a number line. 4. 7, –2, 0, 3, –5 1 2 3 4 5 6 7 8 –8–7–6 –5–4 –3 –2 –1 0

3-2 The Coordinate Plane Problem of the Day Course 2 3-2 The Coordinate Plane Problem of the Day What number am I? I am less than 50. When divided by 5 my remainder is 4. The sum of my digits is 11. 29

Course 2 3-2 The Coordinate Plane Learn to plot and identify ordered pairs on a coordinate plane.

Insert Lesson Title Here Course 2 3-2 The Coordinate Plane Insert Lesson Title Here Vocabulary coordinate plane x-axis y-axis origin quadrant ordered pair

Course 2 3-2 The Coordinate Plane x y A coordinate plane is a plane containing a horizontal number line, the x-axis, and a vertical number line, the y axis. The intersection of these axes is called the origin. 5 y-axis 4 Quadrant II 3 Quadrant I 2 x-axis 1 –5 –4 –3 –2 –1 Origin 1 2 3 4 5 –1 –2 Quadrant III –3 Quadrant IV –4 –5 The axes divide the coordinate-plane into four regions called quadrants, which are numbered I, II, III, and IV.

3-2 The Coordinate Plane Remember! Course 2 3-2 The Coordinate Plane A plane is a flat surface that extends indefinitely in all directions. Remember!

Additional Example 1: Identifying Quadrants on a Coordinate Plane Course 2 3-2 The Coordinate Plane Additional Example 1: Identifying Quadrants on a Coordinate Plane Identify the quadrant that contains each point. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. S W S lies in quadrant IV. T B. T T lies in quadrant I. C. W S W lies on the y-axis between Quadrants I and II

Insert Lesson Title Here Course 2 3-2 The Coordinate Plane Insert Lesson Title Here Try This: Example 1 Identify the quadrant that contains each point. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. N N lies in quadrant II. N B. X Y X lies in quadrant III. C. Y Y lies on the origin. X

Insert Lesson Title Here 3-2 The Coordinate Plane Course X X-X Insert Lesson Title Here Course 2 3-2 The Coordinate Plane x y –2 2 –4 4 –1 –3 –5 5 3 1 Points on a coordinate plane are identified by ordered pairs. An ordered pair consists of two numbers in a certain order. The origin is the point (0,0). 2 units up 3 units right Ordered pair (3,2) x-coordinate y-coordinate Units right or left Units up or down

Additional Example 2: Plotting Points on a Coordinate Plane Course X X-X Insert Lesson Title Here Course 2 3-2 The Coordinate Plane Additional Example 2: Plotting Points on a Coordinate Plane Plot each point on a coordinate plane. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. D (3, 3) D Start at the origin. Move 3 units right and 3 units up. B. E (–2, –3) Start at the origin. Move 2 units left and 3 units down. E F C. F (3, –5) Start at the origin. Move 3 units right and 5 units down.

Insert Lesson Title Here Course 2 3-2 The Coordinate Plane Insert Lesson Title Here Try This: Example 2 Plot each point on a coordinate plane. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. D (4, 4) E D Start at the origin. Move 4 units right and 4 units up. B. E (–2, 3) F Start at the origin. Move 2 units left and 3 units up. C. F (–1, –2) Start at the origin. Move 1 unit left and 2 units down.

Additional Example 3: Identifying Points on a Coordinate Plane Course 2 3-2 The Coordinate Plane Additional Example 3: Identifying Points on a Coordinate Plane Give the coordinates of each point. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. X (–2, 5) X Start at the origin. Point X is 2 units left and 5 units up. Y B. Y (–1, 0) Start at the origin. Point Y is one unit left on the x-axis. Z C. Z (3, –3) Start at the origin. Point Z is 3 units right and 3 units down.

Insert Lesson Title Here Course 2 3-2 The Coordinate Plane Insert Lesson Title Here Try This: Example 3 Give the coordinates of each point. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. L (–4, 3) N L Start at the origin. Point L is 4 units left and 3 units up. B. M (–2, –2) M Start at the origin. Point M is 2 units left and 2 units down. C. N (3, 4) Start at the origin. Point N is 3 units right and 4 units up.

Insert Lesson Title Here Course 2 3-2 The Coordinate Plane Insert Lesson Title Here Lesson Quiz: Part 1 Give the coordinates of each point and identify the quadrant that contains each point x y –2 2 –4 4 –1 –3 –5 5 3 1 1. A (–2, 4); II A C 2. B (3, –2); IV 3. C (2, 3); I Plot each point on a coordinate plane. E B 4. D (2, –3) D 5. E (–4, –2)

Insert Lesson Title Here Course 2 3-2 The Coordinate Plane Insert Lesson Title Here Lesson Quiz: Part 2 6. To plot (7, –2) a student started at (0, 0) and moved 7 units left and 2 units down. What did the student do wrong? He should have moved 7 units right.